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In this paper, we investigate general fractional derivatives with a non-singular power-law kernel. The anomalous diffusion models with non-singular power-law kernel are discussed in detail. The results are efficient for modelling the anomalous behaviors within the frameworks of the Riemann-Liouville and Liouville-Caputo general fractional derivatives. [ABSTRACT FROM AUTHOR]

In the article, the fractal heat-transfer models are described by the local fractional integral equations. The local fractional linear and non-linear Volterra integral equations are employed to present the heat transfer problems in fractal media. The local fractional integral equations are derived from the Fourier law in fractal media. [ABSTRACT FROM AUTHOR]

An introduction is presented in which the editor discusses articles in the issue on topics including heat equation, integral transforms, and Laplace transform.

An introduction is presented in which the editor discusses various reports within the issue on topics including he fractional Maxwell fluid and Navier-Stokes equations, classical fluid dynamics, and a local non-linear optimization of the turbine blade by using fractal theory.